Coulomb-distorted plane wave: partial wave expansion and asymptotic forms
Autor: | Hornyak, I., Kruppa, A. T. |
---|---|
Rok vydání: | 2013 |
Předmět: | |
Zdroj: | J. Math. Phys. 54, 053502 (2013) |
Druh dokumentu: | Working Paper |
DOI: | 10.1063/1.4803027 |
Popis: | Partial wave expansion of the Coulomb-distorted plane wave is determined and studied. Dominant and sub-dominant asymptotic expansion terms are given and leading order three-dimensional asymptotic form is derived. The generalized hypergeometric function $_2F_2(a,a;a+l+1,a-l;z)$ is expressed with the help of confluent hypergeometric functions and the asymptotic expansion of $_2F_2(a,a;a+l+1,a-l;z)$ is simplified. |
Databáze: | arXiv |
Externí odkaz: |